Knitting Hyperbolic Pants

In the book Making Mathematics with Needlework, patterns are given for knitting several different sizes of hyperbolic baby pants using particular gauges of yarn. Those patterns were created using Mathematica, and this Demonstration allows anyone to generate knitting patterns for hyperbolic pants. It is necessary to knit and measure a gauge swatch before generating a custom pattern, because both stitch and row gauge are needed for the pattern creation. (As well as, of course, some dimensions of the finished pants.)

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A hyperbolic octagon can be folded up into a pair of pants. The knitting pattern given here creates a close approximation of a non-regular hyperbolic octagon. In turn, the resulting octagon folds into pants that have proportions matching a baby or toddler (but not so much an adult human). For more information on the mathematics underlying these knitting patterns, please see Making Mathematics with Needlework.